Boson pairs in a one-dimensional split trap
Murphy, D. S.
McCann, J. F.
American Physical Society
We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap center. The full characterization of the ground state is done by calculating the reduced single-particle density, the momentum distribution, and the two-particle entanglement. We derive several analytical expressions in the limit of infinite repulsion (Tonks-Girardeau limit) and extend the treatment to finite interparticle interactions by numerical solution. As pair interactions in double wells form a fundamental building block for many-body systems in periodic potentials, our results have implications for a wide range of problems.
Tonks-Girardeau gas , Impenetrable bosons , Quantum gases , Atoms , Entanglement , Photons , Systems
Murphy, D. S., McCann, J. F., Goold, J. and Busch, T. (2007) 'Boson pairs in a one-dimensional split trap', Physical Review A, 76(5), 053616 (9pp). doi: 10.1103/PhysRevA.76.053616
© 2007, American Physical Society